In the presence of cosmological island surface matter part of generalised entropy (REF ) is equal to entanglement entropy of two disjoint intervals \((b_2^-,a_2^-)\)  and \((a_2^+,b_2^+)\)  of 2D CFT [1]}
\(S_{\rm matter}^{\rm CEH}({\cal R}\cup {\cal I}) = \frac{Q}{3} \log \left(\frac{d(a_2^+,a_2^-)d(b_2^+,b_2^-)d(a_2^+,b_2^+)d(a_2^-,b_2^-)}{d(a_2^+,b_2^-)d(a_2^-,b_2^+)}\right),\) 
